Re: 2012 NCAA Tournament: Division I Bracketology
Ok, I'm now in agreement with you in terms of equally weighting games against the top 8.
You do, however, in my ideal system, need some kind of wins against the top 8. So last year's North Dakota would do fine, in a KRACH using only games against the 8 and lower-weighted games against teams 9-12, because that UND team went 1-1 vs. BU, 2-2 vs. UMD, and 3-1 vs. Minnesota.
Now there is still the possibility with such a system that you could truly be on the top 8 teams in the country, but you went 0-12 against the top 3 teams in your conference who are in the national top 5, and you didn't play anyone in the #6-15 range. There's nothing a ranking system can do to redeem a team in that situation. And that's fine. You have to beat someone even if you play a tough schedule.
Consider the concrete example of NoDak last year. They went 0-5 against UW, because mostly, nobody beat the Badgers. The 8th place teams are going to usually struggle against the most dominant team, and if you weight it too much at the top, you are rewarding the teams that mostly played teams around #10, which is the same flaw that the current system has with a different multiplier. Even though losing to Wisconsin doesn't hurt as much in KRACH, every ratings system will still punish losses. If everyone was playing the same teams, then no problem, but this system still punishes lower TUC teams that play a more difficult schedule. If parity against the top teams existed to the extent that it does in the men's game, then it would be less of an issue.
Ok, I'm now in agreement with you in terms of equally weighting games against the top 8.
You do, however, in my ideal system, need some kind of wins against the top 8. So last year's North Dakota would do fine, in a KRACH using only games against the 8 and lower-weighted games against teams 9-12, because that UND team went 1-1 vs. BU, 2-2 vs. UMD, and 3-1 vs. Minnesota.
Now there is still the possibility with such a system that you could truly be on the top 8 teams in the country, but you went 0-12 against the top 3 teams in your conference who are in the national top 5, and you didn't play anyone in the #6-15 range. There's nothing a ranking system can do to redeem a team in that situation. And that's fine. You have to beat someone even if you play a tough schedule.